On the continuity of harmonic mappings and the Boundary.
George Paulik (1988)
Manuscripta mathematica
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George Paulik (1988)
Manuscripta mathematica
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International Journal of Mathematics and Mathematical Sciences
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A harmonic morphism between Riemannian manifolds and is by definition a continuous mappings which pulls back harmonic functions. It is assumed that dim dim, since otherwise every harmonic morphism is constant. It is shown that a harmonic morphism is the same as a harmonic mapping in the sense of Eells and Sampson with the further property of being semiconformal, that is, a conformal submersion of the points where vanishes. Every non-constant harmonic morphism is shown to be...
Lung Ock Chung, Leo Sario, Cecilia Wang (1975)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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